Atkin-Lehner |
2+ 3+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80142a |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2544480 |
Modular degree for the optimal curve |
Δ |
2642744582294854656 = 210 · 3 · 198 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 1 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3593401,2619179173] |
[a1,a2,a3,a4,a6] |
Generators |
[34374:265837:27] |
Generators of the group modulo torsion |
j |
302142728178937/155606016 |
j-invariant |
L |
4.5716778930139 |
L(r)(E,1)/r! |
Ω |
0.25268893709258 |
Real period |
R |
3.0153528847742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80142y1 |
Quadratic twists by: -19 |